Can gravitational attraction be compensated for by gravimagnetic effects?

Two spherical mass shells (radius R, distance d), relativistically corotating with angular velocity omega, are held in a stationary state by a Weyl strut. In the first order of the rest mass density rho, the global solution of Einstein's equations is given. In order rho squared, the conservation laws produce singularities of the surface stresses at the 'poles' of the shells, where the Weyl strut impinges. Their strength is a measure for the force F between the shells. For d = 2R the attraction between rotating shells is even stronger than for static shells. For d less than 2R (overlapping shells), gravimagnetic repulsion can partly compensate for the attraction. For d approaching 0, and v = (omega)R 1, F(v)/F(0) reaches the value 1/3 for constant rho and the value 1/10 for quadrupolar density distribution. In the limit of infinitely high 'multipolarity' of the mass density the shells degenerate to mass rings, which then exactly balance for d aproaching 0 and v approaching 1.